"He is conscious and talking but he remains in a high dependency unit at University Hospital of Wales where tests are on-going.

"Keith's family and Welsh Labour would once again like to thank those who have sent in messages of support for Keith and we look forward to seeing him back at the assembly when he makes a full recovery."

He had previously undergone tests at the university's neurosurgical unit.

Mr Davies was first elected to the assembly in May last year at the age of 70, taking back Llanelli for the Labour Party from Plaid Cymru by 80 votes.